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The diffusion of a system of ferromagnetic dipoles confined in a quasi-one-dimensional parabolic trap is studied using Brownian dynamics simulations. We show that the dynamics of the system is tunable by an in-plane external homogeneous…

Soft Condensed Matter · Physics 2013-01-15 D. Lucena , W. P. Ferreira , F. F. Munarin , G. A. Farias , F. M. Peeters

The Brownian motion of a particle in a one-dimensional periodic potential subjected to a uniform external force F is studied. Using the formula for the diffusion coefficient D obtained by other authors and an alternative one derived from…

Statistical Mechanics · Physics 2009-11-11 Kazuo Sasaki , Satoshi Amari

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2020-09-17 Roland R. Netz

Starting from the Caldeira-Leggett (CL) model, we derive the equation describing the Quantum Brownian motion, which has been originally proposed by Dekker purely from phenomenological basis containing extra anomalous diffusion terms.…

Quantum Physics · Physics 2015-05-13 Subhasis Sinha , P. A. Sreeram

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

We study the two-dimensional Langevin dynamics of a two-component system, whose components are in contact with heat baths kept at different temperatures. Dynamics is constrained by an optical trap and the \text{dissimilar} species interact…

Statistical Mechanics · Physics 2023-01-11 Victor S Dotsenko , Pascal Viot , Alberto Imparato , Gleb Oshanin

We study the motion of a Brownian particle subjected to Lorentz force due to an external magnetic field. Each spatial degree of freedom of the particle is coupled to a different thermostat. We show that the magnetic field results in…

We investigate the stochastic behavior of a two-temperature Langevin system with non-Markovian thermal reservoirs. The model describes an overdamped Brownian particle in a quadratic potential and coupled to heat baths at different…

Statistical Mechanics · Physics 2020-02-20 Eduardo dos S. Nascimento , Welles A. M. Morgado

In a simple model of a continuous random walk a particle moves in one dimension with the velocity fluctuating between V and -V. If V is associated with the thermal velocity of a Brownian particle and allowed to be position dependent, the…

Statistical Mechanics · Physics 2015-05-13 A. V. Plyukhin

We discuss a family of time-inhomogeneous two-dimensional diffusions, defined over a finite time interval $[0,T]$, having transition density functions that are expressible in terms of the integral kernels for negative exponentials of the…

Probability · Mathematics 2023-07-04 Jeremy Clark , Barkat Mian

Examples of self propulsion in strongly fluctuating environment is abound in nature, e.g., molecular motors and pumps operating in living cells. Starting from Langevin equation of motion, we develop a fluctuating thermodynamic description…

Statistical Mechanics · Physics 2015-02-20 Chandrima Ganguly , Debasish Chaudhuri

A nonequilibrium distribution function of microscopic thermal current is studied by a direct numerical simulation in a thermal conducting steady state of particle systems. Two characteristic temperatures of the thermal current are…

Statistical Mechanics · Physics 2009-04-01 Satoshi Yukawa , Takashi Shimada , Fumiko Ogushi , Nobuyasu Ito

In the present work, we study qualitatively the physics of granular temperature coexistence, for a mixture of two different species. Our model captures its essential aspects and this allows us to get insights on the physical mechanisms of…

Statistical Mechanics · Physics 2009-11-07 W. A. M. Morgado

We study the stochastic motion of an intruder in a dilute driven granular gas. All particles are coupled to a thermostat, representing the external energy source, which is the sum of random forces and a viscous drag. The dynamics of the…

Statistical Mechanics · Physics 2010-04-27 Alessandro Sarracino , Dario Villamaina , Giulio Costantini , Andrea Puglisi

We propose a system of two coupled parabolic equations that have degenerate diffusion constants depending on the energy-like variable. The dissipation of the velocity-like variable is fed as a source term into the energy equation leading to…

Analysis of PDEs · Mathematics 2022-05-17 Alexander Mielke

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction…

Statistical Mechanics · Physics 2024-02-22 Mingnan Ding , Jun Wu , Xiangjun Xing

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

The unbiased thermal diffusion of an overdamped Brownian particle in a square lattice potential is considered in the presence of an externally applied ac driving. The resulting diffusion matrix exhibits two orthogonal eigenvectors with…

Statistical Mechanics · Physics 2012-03-22 David Speer , Ralf Eichhorn , Peter Reimann

The diffusion of colloids inside an active system-e.g. within a living cell or the dynamics of active particles itself (e.g. self-propelled particles) can be modeled through overdamped Langevin equation which contains an additional noise…

Statistical Mechanics · Physics 2024-12-06 Koushik Goswami , K. L. Sebastian